Question

I need help with my math homework

Answer 1

Answer:

See below, sorry for taking so long

Step-by-step explanation:

1.

A. Slope is rise over run or y2 - y1 divided by x2 - x1

We have (-5, 1) and (-3, 7)

7 - 1 / -3 - (-5)

6 / -3 + 5

6 / 2 = 3

Slope = 3

B. So point slope form is y - y1 = m(x - x1)

We know the slope so:

y - 1 = 3(x - (-5))

C. Using the point slope we can move things around to get slope-intercept:

y - 1 = 3(x + 5)

y - 1 = 3x + 15

y - 1 + 1 = 3x + 15 + 1

y = 3x + 16

D. Standard form is Ax + By = C:

y = 3x + 16

y - y = 3x + 16 - y

0 = 3x + 16 - y

0 - 16 = 3x + 16 - y - 16

-16 = 3x - y

3x - y = -16